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Beliebt Rechnen >

derivative of (1+x^3^{2020})

Lösung

\frac{d}{d x} ((1 + x^{3})^{2020})

Lösung

6060 x^{2} (1 + x^{3})^{2019}

Schritte zur Lösung

\frac{d}{d x} ((1 + x^{3})^{2020})

Wende die Kettenregel an:

2020 (1 + x^{3})^{2019} \frac{d}{d x} (1 + x^{3})

= 2020 (1 + x^{3})^{2019} \frac{d}{d x} (1 + x^{3})

\frac{d}{d x} (1 + x^{3}) = 3 x^{2}

= 2020 (1 + x^{3})^{2019} \cdot 3 x^{2}

Vereinfache

= 6060 x^{2} (1 + x^{3})^{2019}

Graph

Beliebte Beispiele

steigung (8,8),(4,6)

s l o p e (8, 8), (4, 6)

derivative e^{2x}+2e^{2x}x

d er i v a t i v e e^{2 x} + 2 e^{2 x} x

\frac{d y}{d t} + a y = b

tangent 2sqrt(x)

t an g e n t 2 x

integral of x/(5x-4)

\int \frac{x}{5 x - 4} d x